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Finding the Fourth Proportional to 194.24, 291.39 and 86.03

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Solution

The fourth proportional to 194.24, 291.39 and 86.03 is: 129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.24 : 291.39 = 86.03 : x
  2. Step 2: Convert to fraction form
    194.24/291.39 = 86.03/x
  3. Step 3: Cross multiply
    194.24x = 291.39 × 86.03
  4. Step 4: Simplify right side
    194.24x = 25,068.28
  5. Step 5: Solve for x
    x = 25,068.28/194.24
  6. Step 6: Final answer
    x = 129.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.